TSTP Solution File: SEV434_8 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV434_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 16:03:51 EDT 2024

% Result   : Theorem 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   40 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  139 (  44 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :   75 (  32   ~;  37   |;   2   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   58 (  56 fml;   2 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   19 (  14   !;   5   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    f: $o > $i ).

tff(f79,plain,
    $false,
    inference(avatar_sat_refutation,[],[f26,f35,f36,f71,f76,f78]) ).

tff(f78,plain,
    ( ~ spl4_1
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f77]) ).

tff(f77,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f21,f73]) ).

tff(f73,plain,
    ( ( sK1 != f($false) )
    | ~ spl4_3 ),
    inference(superposition,[],[f9,f30]) ).

tff(f30,plain,
    ( ( sK2 = f($false) )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f28]) ).

tff(f28,plain,
    ( spl4_3
  <=> ( sK2 = f($false) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f9,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f6]) ).

tff(f6,plain,
    ? [X0,X1,X2] :
      ( ( X1 != X2 )
      & ( X0 != X2 )
      & ( X0 != X1 ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,plain,
    ~ ! [X0,X1,X2] :
        ( ( X1 = X2 )
        | ( X0 = X2 )
        | ( X0 = X1 ) ),
    inference(rectify,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ! [X1,X0,X2] :
        ( ( X0 = X2 )
        | ( X1 = X2 )
        | ( X0 = X1 ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ! [X1,X0,X2] :
      ( ( X0 = X2 )
      | ( X1 = X2 )
      | ( X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f21,plain,
    ( ( sK1 = f($false) )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f19]) ).

tff(f19,plain,
    ( spl4_1
  <=> ( sK1 = f($false) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f76,plain,
    ( spl4_2
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f75]) ).

tff(f75,plain,
    ( $false
    | spl4_2
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f74,f62]) ).

tff(f62,plain,
    ( ( sK0 = f($false) )
    | spl4_2 ),
    inference(trivial_inequality_removal,[],[f61]) ).

tff(f61,plain,
    ( ( f($true) != f($true) )
    | ( sK0 = f($false) )
    | spl4_2 ),
    inference(superposition,[],[f25,f12]) ).

tff(f12,plain,
    ! [X0: $i] :
      ( ( f($true) = X0 )
      | ( f($false) = X0 ) ),
    inference(resolution,[],[f11,f10]) ).

tff(f10,plain,
    ! [X0: $i] :
      ( sK3(X0)
      | ( f($false) = X0 ) ),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,plain,
    ! [X0] :
    ? [X1: $o] : ( f((X1)) = X0 ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X0] :
    ? [X1: $o] : ( f((X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f11,plain,
    ! [X0: $i] :
      ( ~ sK3(X0)
      | ( f($true) = X0 ) ),
    inference(cnf_transformation,[],[f5]) ).

tff(f25,plain,
    ( ( sK0 != f($true) )
    | spl4_2 ),
    inference(avatar_component_clause,[],[f23]) ).

tff(f23,plain,
    ( spl4_2
  <=> ( sK0 = f($true) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f74,plain,
    ( ( sK0 != f($false) )
    | ~ spl4_3 ),
    inference(superposition,[],[f8,f30]) ).

tff(f8,plain,
    sK0 != sK2,
    inference(cnf_transformation,[],[f6]) ).

tff(f71,plain,
    ( spl4_2
    | spl4_4 ),
    inference(avatar_contradiction_clause,[],[f70]) ).

tff(f70,plain,
    ( $false
    | spl4_2
    | spl4_4 ),
    inference(subsumption_resolution,[],[f69,f62]) ).

tff(f69,plain,
    ( ( sK0 != f($false) )
    | spl4_4 ),
    inference(superposition,[],[f7,f64]) ).

tff(f64,plain,
    ( ( sK1 = f($false) )
    | spl4_4 ),
    inference(trivial_inequality_removal,[],[f63]) ).

tff(f63,plain,
    ( ( f($true) != f($true) )
    | ( sK1 = f($false) )
    | spl4_4 ),
    inference(superposition,[],[f34,f12]) ).

tff(f34,plain,
    ( ( sK1 != f($true) )
    | spl4_4 ),
    inference(avatar_component_clause,[],[f32]) ).

tff(f32,plain,
    ( spl4_4
  <=> ( sK1 = f($true) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f7,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f6]) ).

tff(f36,plain,
    ( spl4_3
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f16,f23,f28]) ).

tff(f16,plain,
    ( ( sK0 != f($true) )
    | ( sK2 = f($false) ) ),
    inference(superposition,[],[f8,f12]) ).

tff(f35,plain,
    ( spl4_3
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f15,f32,f28]) ).

tff(f15,plain,
    ( ( sK1 != f($true) )
    | ( sK2 = f($false) ) ),
    inference(superposition,[],[f9,f12]) ).

tff(f26,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f14,f23,f19]) ).

tff(f14,plain,
    ( ( sK0 != f($true) )
    | ( sK1 = f($false) ) ),
    inference(superposition,[],[f7,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEV434_8 : TPTP v8.2.0. Released v8.0.0.
% 0.08/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Jun 21 19:30:54 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.36  This is a TX0_THM_EQU_NAR problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41  % (25156)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.12/0.41  % (25156)Refutation not found, incomplete strategy% (25156)------------------------------
% 0.12/0.41  % (25156)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.12/0.41  % (25156)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.12/0.41  % (25156)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.41  
% 0.12/0.41  % (25156)Memory used [KB]: 1049
% 0.12/0.41  % (25156)Time elapsed: 0.002 s
% 0.12/0.41  % (25156)Instructions burned: 2 (million)
% 0.12/0.41  % (25156)------------------------------
% 0.12/0.41  % (25156)------------------------------
% 0.22/0.43  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25150)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.22/0.43  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25154)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.43  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25155)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.22/0.43  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25153)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.43  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25151)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.22/0.43  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25152)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.22/0.43  % (25154)Refutation not found, incomplete strategy% (25154)------------------------------
% 0.22/0.43  % (25154)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (25154)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (25154)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (25154)Memory used [KB]: 1050
% 0.22/0.43  % (25154)Time elapsed: 0.003 s
% 0.22/0.43  % (25154)Instructions burned: 1 (million)
% 0.22/0.43  % (25155)Refutation not found, incomplete strategy% (25155)------------------------------
% 0.22/0.43  % (25155)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (25155)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (25155)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (25155)Memory used [KB]: 1054
% 0.22/0.43  % (25155)Time elapsed: 0.003 s
% 0.22/0.43  % (25155)Instructions burned: 2 (million)
% 0.22/0.43  % (25154)------------------------------
% 0.22/0.43  % (25154)------------------------------
% 0.22/0.43  % (25155)------------------------------
% 0.22/0.43  % (25155)------------------------------
% 0.22/0.43  % (25150)Refutation not found, incomplete strategy% (25150)------------------------------
% 0.22/0.43  % (25150)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (25150)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (25150)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (25150)Memory used [KB]: 1115
% 0.22/0.43  % (25150)Time elapsed: 0.004 s
% 0.22/0.43  % (25150)Instructions burned: 3 (million)
% 0.22/0.43  % (25150)------------------------------
% 0.22/0.43  % (25150)------------------------------
% 0.22/0.43  % (25153)First to succeed.
% 0.22/0.43  % (25153)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25149"
% 0.22/0.44  % (25149)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (25153)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Theorem for theBenchmark
% 0.22/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44  % (25153)------------------------------
% 0.22/0.44  % (25153)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44  % (25153)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44  % (25153)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (25153)Memory used [KB]: 1161
% 0.22/0.44  % (25153)Time elapsed: 0.006 s
% 0.22/0.44  % (25153)Instructions burned: 5 (million)
% 0.22/0.44  % (25153)------------------------------
% 0.22/0.44  % (25153)------------------------------
% 0.22/0.44  % (25149)Success in time 0.065 s
%------------------------------------------------------------------------------